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90021504 = 273234431
BaseRepresentation
bin1010101110110…
…01111010000000
320021101120021210
411113121322000
5141021142004
612533250120
72142112236
oct527317200
9207346253
1090021504
11468a6541
1226193940
131585b981
14bd54956
157d83089
hex55d9e80

90021504 has 32 divisors (see below), whose sum is σ = 239120640. Its totient is φ = 30007040.

The previous prime is 90021457. The next prime is 90021541. The reversal of 90021504 is 40512009.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116832 + ... + 117599.

It is an arithmetic number, because the mean of its divisors is an integer number (7472520).

Almost surely, 290021504 is an apocalyptic number.

It is an amenable number.

90021504 is an abundant number, since it is smaller than the sum of its proper divisors (149099136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90021504 is a wasteful number, since it uses less digits than its factorization.

90021504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234448 (or 234436 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 90021504 is about 9487.9662731272. The cubic root of 90021504 is about 448.1761637126.

It can be divided in two parts, 90021 and 504, that added together give a triangular number (90525 = T425).

The spelling of 90021504 in words is "ninety million, twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 234431 468862 703293 937724 1406586 1875448 2813172 3750896 5626344 7501792 11252688 15003584 22505376 30007168 45010752 90021504